Pi In Nature Art And Culture

In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.

Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.

“Gives to anthropological reflection a new starting point and will become the compulsory reference for all our debates in the years to come.” —Claude Lévi-Strauss, on the French edition Beyond Nature and Culture has been a major influence in European intellectual life since its French publication in 2005. Here, finally, it is brought to English-language readers. At its heart is a question central to both anthropology and philosophy: what is the relationship between nature and culture? Culture—as a collective human making, of art, language, and so forth—is often seen as essentially different from nature, which is portrayed as a collective of the nonhuman world, of plants, animals, geology, and natural forces. Philippe Descola shows this essential difference to be not only a Western notion, but also a very recent one. Drawing on ethnographic examples from around the world and theoretical understandings from cognitive science, structural analysis, and phenomenology, he formulates a sophisticated new framework, the “four ontologies” —animism, totemism, naturalism, and analogism—to account for all the ways we relate ourselves to nature. By thinking beyond nature and culture as a simple dichotomy, Descola offers a fundamental reformulation by which anthropologists and philosophers can see the world afresh. “A compelling and original account of where the nature-culture binary has come from, where it might go—and what we might imagine in its place.” —Somatosphere “The most important book coming from French anthropology since Claude Lévi-Strauss’s Anthropologie Structurale.” —Bruno Latour, author of An Inquiry into Modes of Existence “Descola’s challenging new worldview should be of special interest to a wide range of scientific and academic disciplines from anthropology to zoology . . . Highly recommended.” —Choice

In this richly illustrated volume, featuring more than fifty black-and-white illustrations and a beautiful eight-page color insert, Barbara Novak describes how for fifty extraordinary years, American society drew from the idea of Nature its most cherished ideals. Between 1825 and 1875, all kinds of Americans--artists, writers, scientists, as well as everyday citizens--believed that God in Nature could resolve human contradictions, and that nature itself confirmed the American destiny. Using diaries and letters of the artists as well as quotes from literary texts, journals, and periodicals, Novak illuminates the range of ideas projected onto the American landscape by painters such as Thomas Cole, Albert Bierstadt, Frederic Edwin Church, Asher B. Durand, Fitz H. Lane, and Martin J. Heade, and writers such as Ralph Waldo Emerson, Henry David Thoreau, and Frederich Wilhelm von Schelling. Now with a new preface, this spectacular volume captures a vast cultural panorama. It beautifully demonstrates how the idea of nature served, not only as a vehicle for artistic creation, but as its ideal form. "An impressive achievement." --Barbara Rose, The New York Times Book Review "An admirable blend of ambition, elan, and hard research. Not just an art book, it bears on some of the deepest fantasies of American culture as a whole." --Robert Hughes, Time Magazine

Exploring the history of art in China from its earliest incarnations to the present day, this comprehensive volume includes two dozen newly-commissioned essays spanning the theories, genres, and media central to Chinese art and theory throughout its history. Provides an exceptional collection of essays promoting a comparative understanding of China’s long record of cultural production Brings together an international team of scholars from East and West, whose contributions range from an overview of pre-modern theory, to those exploring calligraphy, fine painting, sculpture, accessories, and more Articulates the direction in which the field of Chinese art history is moving, as well as providing a roadmap for historians interested in comparative study or theory Proposes new and revisionist interpretations of the literati tradition, which has long been an important staple of Chinese art history Offers a rich insight into China’s social and political institutions, religious and cultural practices, and intellectual traditions, alongside Chinese art history, theory, and criticism

Chinese Contemporary Art in the Global Auction Market charts the rapid emergence of a multi-million-dollar global market for Chinese Contemporary art by revealing the strategic activities of art world agents in promoting the work of ‘avant-garde’ Chinese artists to a Western audience.

Over the last 30 or 40 years a substantial literature has grown up in which the tools of economic theory and analysis have been applied to problems in the arts and culture. Economists who have surveyed the field generally locate the origins of contemporary cultural economics as being in 1966, the year of publication of the first major work in modern times dedicated specifically to the economics of the arts. It was a book by Baumol and Bowen which showed that economic analysis could illuminate the supply of and demand for artistic services, the contribution of the arts sector to the economy, and the role of public policy. Following the appearance of the Baumol and Bowen work, interest in the economics of the arts grew steadily, embracing areas such as demand for the arts, the economic functions of artists, the role of the nonprofit sector, and other areas. Cultural economics also expanded to include the cultural or entertainment industries (the media, movies, the publishing industry, popular music), as well as heritage and museum management, property right questions (in particular copyright) and the role of new communication technologies such as the internet. The field is therefore located at the crossroads of several disciplines: economics and management, but also art history, art philosophy, sociology and law. The Handbook is placed firmly in economics, but it also builds bridges across these various disciplines and will thus be of interest to researchers in all these different fields, as well as to those who are engaged in cultural policy issues and the role of culture in the development of our societies. *Presents an overview of the history of art markets *Addresses the value of art and consumer behavior toward acquiring art *Examines the effect of art on economies of developed and developing countries around the world